Spectral study on some complex PT-symmetry quantum systems using the Mathews-Lakshmanan position dependent mass in von Roos model and derivation of one parameter K.E [ S. Cruz ,J. Negro and L . M .Nieto [Phys .Lett 369(2007)]
Biswanath Rath
TL;DR
This paper investigates PT-symmetric quantum systems with position-dependent mass using the Mathews-Lakshmanan model, analyzing their spectral properties and deriving a one-parameter kinetic energy expression.
Contribution
It introduces a spectral analysis of PT-symmetric systems with position-dependent mass within the von Roos framework, including a novel derivation of a one-parameter kinetic energy.
Findings
Analysis of broken and unbroken PT-symmetry spectra
Derivation of a one-parameter kinetic energy expression
Application to Mathews-Lakshmanan oscillator
Abstract
Present PT-symmetry deals with broken and unbroken spectra of ML oscillator.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics